Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
276 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14530568 | C2 | semidirect |
| 5. #14526898 | C2 | semidirect |
| 6. #14526885 | C2 | semidirect |
| 7. C17×#1382 | C2 | semidirect |
| 123. #1382 | D17 | semidirect |
| 188. C17 | #13500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530568 | 2 |
| C2×#11762592 | 2 |
| #14528839 | 2 |
| #14528827 | 2 |
| #14526898 | 2 |
| #14526885 | 2 |
| C17×#1382 | 2 |
| #13500 | 17 |